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Finding the Fourth Proportional to 501,126.84, 691,540.56 and 286,262.64

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Solution

The fourth proportional to 501,126.84, 691,540.56 and 286,262.64 is: 395,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,126.84 : 691,540.56 = 286,262.64 : x
  2. Step 2: Convert to fraction form
    501,126.84/691,540.56 = 286,262.64/x
  3. Step 3: Cross multiply
    501,126.84x = 691,540.56 × 286,262.64
  4. Step 4: Simplify right side
    501,126.84x = 197,962,226,372.68
  5. Step 5: Solve for x
    x = 197,962,226,372.68/501,126.84
  6. Step 6: Final answer
    x = 395,034.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.